WorksheetsTriangle Theorems
Total questions: 23
Worksheet time: 1hrs 24mins
Name
Class
Date
1.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.
a)
45°
b)
90°
c)
180°
d)
360°
2.
Find the measure of the indicated angle.
a)
135°
b)
55°
c)
45°
d)
60°
3.
Find the measure of the indicated angle.
a)
45°
b)
33°
c)
123°
d)
147°
4.
Find the measure of the indicated angle.
a)
90°
b)
71°
c)
98°
d)
82°
5.
Which two angles are the remote interior angles to Angle W?
a)
Angle X and Angle Y
b)
Angle X and Angle Z
c)
Angle Y and Angle Z
d)
Angle Z and Angle W
6.
What is the value of x?
a)
105°
b)
144°
c)
69°
d)
111°
7.
a)
A
b)
B
c)
C
d)
D
8.
Find the indicated angle measure. (What is ?)
a)
51°
b)
37°
c)
167°
d)
41°
9.
Use the Perp Bisector Theorem to find HG
a)
28
b)
14
c)
41
d)
7
10.
Use the Perp Bisector Theorem to find PQ
a)
10
b)
3
c)
-2
d)
5
11.
Use the Perp Bisector Theorem to find AD and BC
a)
5;12
b)
16;4
c)
12; 16
d)
5;16
12.
Use the Perp Bisector Theorem to find the length of AD
a)
2
b)
4
c)
6
d)
8
13.
Use the Perp Bisector Theorem to find DC
a)
4
b)
1
c)
2
d)
3
14.
Find the measure of QA
a)
4
b)
-4
c)
16
d)
28
15.
What segment is parallel to EF?
a)
Segment PM
b)
Segment MN
c)
Segment NP
d)
Segment FG
16.
QR is a midsegment of triangle WUV. What is the length of segment QR?
a)
4
b)
8
c)
16
d)
32
17.
What is the measure of angle X?
a)
60
b)
40
c)
140
d)
100
18.
QR is a midsegment of triangle WXY. What is the length of segment WY?
a)
3
b)
6
c)
9
d)
12
19.
QR is a midsegment of triangle FGH. Solve for the value of x?
a)
5.5
b)
11
c)
-5.5
d)
-11
20.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
21.
Identify the perpendicular bisector.
a)
TP
b)
RS
c)
TR
d)
ST
22.
Find AD
a)
8.4
b)
16.8
c)
20
d)
10
23.
Find the measure of ∠MFZ
a)
10
b)
19
c)
21
d)
32 31
100 %
